Question

If F(s) is the Fourier transform of f(x), then find the Fourier transform of f(x-a).

Answer 1

Answer:

If F(s) is the Fourier transform of f(x), then find the Fourier transform of f(x-a).

Answer 2

Answer:

 $F(x - a) = e^{ias}F(s)$

Step-by-step explanation:

given that:

F(s) is the Fourier transform of f(x)

we have to find Fourier transform of f(x - a)

formula for finding Fourier transform is :

F(s) = (1/√2π) ∫$e^{isx} f(x)$

substitute (x - a) in place of 'x'

we get :

$F(x - a) = e^{ias}F(s)$